UNITED NATIONS POPULATION INFORMATION NETWORK (POPIN)
UN Population Division, Department of Economic and Social Affairs,
with support from the UN Population Fund (UNFPA)

Recent Developments in Research into Pop. Growth & Eco. Devel.

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For further information please contact the United Nations Population Fund 

at 220 East 42nd Street, New York, NY 10017 USA or via E-mail: 

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FROM:  Population Growth and Economic Development: Report on the 

Consultative Meeting of Economists Convened by the United Nations 

Population Fund, 28-29 September 1992, New York.  New York:UNFPA, 1993.







      RECENT DEVELOPMENTS IN RESEARCH INTO THE RELATIONSHIP

                    BETWEEN POPULATION GROWTH

                    AND ECONOMIC DEVELOPMENT



                Background Paper Prepared by UNFPA





I.   Introduction



     Two contrasting schools of thought are discernible in post-World

War II research in the area of population and development. The first,

which one reviewer calls "orthodoxy", arose in the 1950s and is typi-

fied by the overall conclusion of the first U.S. National Academy of

Sciences report on population and development (National Research

Council, 1971): rapid population growth poses a serious, even in-

surmountable barrier to economic growth and social advancement. The

authors of the report summarized their conclusions as follows:



        "Rapid population growth slows down the growth of per capita

        incomes in less developed countries and tends to perpetuate

        inequalities of income distribution.  It holds down the

        level of savings and capital investment in the means of

        production and thereby limits the rate of growth of gross

        domestic product.  Food supplies and agricultural production

        must be greatly increased to meet the needs of rapidly

        growing populations, and this constrains the allocation of

        resources to other economic and social sectors.  The number

        of persons entering the labour force grows very rapidly.

        Because the number of people seeking employment is larger

        than the number of available jobs, unemployment and

        underemployment are increasingly serious problems.  An ever

        larger number of workers cannot be absorbed into the modern

        (industrialized) sector.  They are forced into unproductive

        service occupations or back into the traditional

        (agricultural) sector with its low productivity and bare

        subsistence wage levels. ...  Widespread poverty, the low

        productivity of labour, the growing demands for food, and

        slow industrialization distort and degrade the international

        trade of the less developed countries."



     The World Bank's World Development Report 1984 also embodied

this "orthodox" view.  Other major research surveys that concluded

that population growth tends to slow development were those by R.

Cassen (1973), N. Birdsall (1977) and G. McNicoll (1984).



     The second tendency, "revisionism", arose in the 1980s and is

typified by overall findings contained in the second NAS report

(National Research Council, 1986), namely, that rapid population

growth is only a secondary factor in economic development, and that

its deleterious effects will largely (though not necessarily

entirely) be countered by market reactions if markets are allowed to

function freely.  A statement of the revisionist view is given by A.

Kelley (1988, p. 1715) in concluding his review of research in the

area of population and development:



     "Economic growth (as measured by per capita output) in many

     developing countries would have been more rapid in an

     environment of slower population growth, although in a number

     of countries the impact of population was probably negligible,

     and in some it may have been positive. ... Because there is no

     believable and generally accepted quantitative estimate of

     population's effect on development, only a qualitative (a

     direction-of-impact) assessment can be made.  The assessment,

     positive or negative, varies from country to country, over

     time, and possibly with the rate of population growth.  What

     is clear is that an assessment of the impact of population

     growth on economic development is highly complex, that

     problems like unemployment, famine, and malnutrition are

     caused by many factors (including rapid population growth),

     and that an emphasis on policies of slowing population growth

     without simultaneously confronting the other fundamental

     causes of such problems may well lead to disappointing

     results."



     This marked a return to the earlier non-committal tone of

researchers such as Kuznets (1965) and R. Easterlin (1967), which has

been echoed in the declarations of the international population

conferences convened by the United Nations at 10-year intervals since

1954.



     In this review, the focus is on research in the area of

population and development since the 1986 NAS report, the latest

major review of the subject. In cases where post-1986 research has

not modified the 1986 report because of the lack of new research

initiatives, this fact is simply noted.  In these cases the

interested reader can find detailed citations either in the NAS

report or in the accompanying background papers (G. Johnson and R.

Lee, 1987).



     Given this approach, it is worthwhile to sketch briefly the

major policy conclusions of the 1986 NAS review with respect to the

different effects of population growth:



     Per worker capital, output and consumption: Slower population

growth has a net positive effect on the capital/labour ratio; and a

probable positive effect on the savings rate.  While "capital

deepening" is a genuine consequence of reduced population growth, its

effect "may be relatively modest".



     Technological innovation and economies of scale:  In manufac-

turing, this is an urban question; economies of scale are exhausted

at moderate city size.  Therefore, slower population growth has no

negative effect on productivity in manufacturing.  In agriculture,

population density increases are positive (choice of technique,

infrastructure economies of scale).  But this does not imply that net

productivity increases.  Some evidence exists that after reaching 100

persons/sq km, overall productivity starts to fall due to diminishing

returns.



     Per capita levels of schooling and health:  In education, slower

population growth is associated with higher expenditure per pupil;

the same is true of per capita spending on health and nutrition

within households.  In government health programmes, it is "unlikely

that rapid population growth is a major impediment" to their success.



     Inequality in the distribution of income:  In the short term,

slower population growth decreases inequality of income if family

planning is targeted at low-income groups.  In the long term there

should also be a lessening of inequality, since labour is favoured

over other factors of production.



     Absorption of workers into the modern sector; problems of urban

growth:  Population growth has exacerbated some urban problems

(straining services and slowing the growth of the modern sector,

e.g.), but slower population growth "will probably not, by itself,

solve these problems".  An urban bias of government policies is a

much more important cause of urban problems than population growth.



     Externalities:  Some externalities are the result of

population growth: congestion, over-rapid resource degradation, and

inter-generational costs, e.g. It is likely that there are net

negative externalities of child-bearing in most developing

countries.  A minimum policy response should include subsidized

family planning programmes; a more ambitious response would involve

"alterations in incentive structures".



     The conclusions of the 1986 NAS review are "revisionist", while

still pointing out many aspects of economic development that would

benefit from slower population growth and the population policies

that lead to slower growth.  The present review of post-1986

research, while not suggesting radical departures from the NAS

findings, leads to a somewhat stronger conclusion regarding the

negative effects of population growth on development prospects in

developing countries.





II.  General Considerations



     The main conclusion that emerges from the neo-classical one-

sector model of economic growth is that an increase in the rate of

population growth will lead to a reduction in the long-term

equilibrium level of output per capita.  Economists have long

expressed concern, however, that demographic factors may be

inadequately reflected in the simple model.  For example, the rate

of population growth and resulting changes in the population's age

structure might change the savings rate, a crucial model parameter.

The rate of technical progress, taken as exogenous in the simple

model, might respond to population factors.  The negative effects of

more rapid population growth might be ameliorated by economies of

scale arising from larger population size; on the other hand, labour

productivity might suffer if rapid population growth impedes the

formation of human capital.



     The organization of this paper reflects this neo-classical

tradition of looking at the effects of rapid population growth in

terms of the sources of growth: accumulation of physical capital

(i.e., savings and investment); labour-force growth and absorption,

including the shift of labour from low- to high-productivity sectors;

the quality of human resources, which is closely related to the

accumulation of human cap-ital; and economies of scale and technical

and institutional change.  Other sections look at research into the

effects of population growth on externalities and on income

distribution and poverty; a final section reviews the results of

recent correlation studies and modelling exercises.



     The temporal focus is on the medium-term, that is, roughly 10

to 15 years.  This is long enough for changes in fertility and

mortality to cause perceptible shifts in population size and age

structure, but short enough to be of practical interest to policy

makers.



     It should be kept in mind that the effects of population growth

are likely to vary widely with national context.  Among the

significant background factors may be population density, the

openness and trade orientation of the economy, and the nature and

role of the agricultural sector and the natural-resource base.

Perhaps most important of all is the question of whether local

conditions and institutions are conducive to the allocation of

economic resources through neo-classical market mechanisms.





III. Rapid Population Growth and Savings and Investment



     The seminal work in the area of population growth and savings

is that of A. Coale and E. Hoover (1958), who reached an unequi-vocal

conclusion: "To postpone fertility reductions in low-income countries

is to shrink the potential growth in per capita income for the

indefinite future."  These researchers hypothesized that fertility

reduction would have four effects:



     (1)        A straightforward denominator effect.  A drop in

                fertility would lead to fewer adult-equivalent

                consumers in the population.  This denominator

                effect may, in turn, be decomposed into rate-of-

                growth and age-structure effects.  Both effects

                arise from simple accounting identities and not from

                any behavioural model.



     (2)        A household-level savings-rate effect.  The ratio of

                young net consumers to older net producers would

                fall, resulting in the saving of a higher proportion

                of household income.



     (3)        A national-level composition-of-investment effect.

                The reduction in the ratio of children to adults

                would allow the state to direct investment away from

                schools and hospitals and into directly productive

                plant and equipment.  (Schools and hospitals,

                whatever their beneficial effect on the quality of

                the human-resource base over the long term, do not

                contribute directly or immediately to production.)





     (4)        A female labour-force participation effect.  In the

                lower-fertility scenario, women would supply more

                labour to the marketplace.  This allowed Coale and

                Hoover to assume that, at least for the first 30

                years, lower fertility would make no significant

                difference in the size of the labour force.  In

                point of fact, the importance of the labour-force

                participation rate effect is marginal in the

                simulations presented.



     As the behavioural effects (2)-(4) affect the level of GDP in

the numerator of the chosen welfare index, income per adult-

equivalent consumer, we may refer to them as "numerator effects".

As Coale (1986) himself made clear, assumptions (2) and (3) þ which

have generated much debate and refinement þ were less important, in

terms of their contribution to the result of their simulation

analysis, than was (1), the simple denominator effect.  Only one-

quarter of the increase in income per adult-equivalent consumer found

to arise from fertility reduction was due to numerator effects; the

rest was, essentially, pure accounting.



     The household savings-rate effect (as well as the more complex

question of whether such an effect, if it exists, reduces the

aggregate supply of savings) has been among the most active areas of

research in the field of population and development.  Despite the

large volume of research, however, not much has been found in the way

of hard conclusions.  H. Leibenstein (1976, p. 618) wrote almost 20

years ago that the issue of whether population growth reduced the

availability of savings could not be answered based on then-available

research.  McNicoll (1984, p. 206) concluded that "in general, rather

little" can be concluded on the savings-investment effect of rapid

population growth, and suggested that the phrase "based on presently

available research" could be deleted from Leibenstein's sentence.

A. Mason (1988) summarized his survey of research in the area as

follows:



     "A succinct and uncritical reading of the evidence might be

     summarized as follows: A high rate of saving is required to

     maintain a level of investment necessary for rapid economic

     growth.  And in many countries, reduced population growth will

     facilitate efforts to achieve higher rates of saving. Providing

     accurate, rather than succinct, answers to these questions is

     more difficult because the processes involved are complex and

     because the circumstances vary widely from country to country."



     The sources of theoretical difficulty are several.  At the

household level, even a simple accounting model of saving behaviour

reveals that birth order, household size and income may influence a

family's reaction to a marginal birth.  At the macroeconomic and

population-wide level, there are important age-composition effects

þ the ratio of young households accumulating savings to older

households drawing down savings is a crucial variable þ as well as

an interaction effect between the dependency ratio and the rate of

macroeconomic growth.  Because of this interaction, the burden posed

by population growth should be most significant in dynamic, rapidly

growing economies.



     Perhaps not surprisingly, the empirical relationship between

aggregate saving rates and the demographic characteristics of

populations is almost as problematic as that between population

growth and per capita economic growth (see the discussion in Section

IX).  The basic article supporting an important dependency-ratio

effect is that of N. Leff (1969), which has been much criticized and

often rebutted (see Mason, 1988, for citations).  The most-recent

regression analysis of the relationship between aggregate saving

rates and dependency rates leaves the reader with little confidence

that the matter will ever be resolved: parameter estimates are

insignificant and erratic (L. Schumaker and R. Clark, 1992).  The

methodology used in this study, however, has been severely criticized

(see above).  A model constructed by Mason (1987) suggested that even

a massive shift in the dependency ratio (population under age 15

divided by population over 15) from 0.4 to 0.8 might reduce the

saving rate in a typical developing country only from 22 to 19 per

cent.



     A 1987 investigation by the United Nations Conference on Trade

and Development, on the relationship between population and

savings/consumption, showed that, in Latin America, dependency-ratio

effects are statistically significant predictors of savings

behaviour.  In areas with high population growth and young

populations, substantial rises in consumption occur as dependency

increases.



     Finally, the literature on population growth and savings must

be placed in a broader sources-of-growth context. Studies have,

without exception, assigned a surprisingly small share of long-run

growth to accumulation of physical capital.  The most-often cited of

these is that of E. Denison (1985), who apportioned U.S. economic

growth between 1929 and 1981 as follows: 25 per cent to labour-force

growth, holding education level and the distribution of labour force

across sectors constant; 16 per cent to the rising education level

of the labour force; 11 per cent to re-allocation of labour from low-

to high-productivity sectors; 12 per cent to capital growth; 11 per

cent to the reaping of economies of scale; 34 per cent to technical

progress; and -9 per cent to errors and omitted factors.





IV.  Rapid Population Growth and Labour-Force Growth and Absorption



     Demographic increase has both accounting and behavioural effects

on labour supply.  The former is straightforward: a person born today

will represent a job-seeker some 15 to 20 years hence, subject to

prevailing rates of survival, school attendance and labour-force

participation.  A particular characteristic of rapidly growing

populations is the preponderance of young persons of limited

experience.  This may tend to diminish productivity and wages; on the

other hand, H. Leibenstein (1967) has suggested that the attitudes

of such workers may be particularly conducive to dynamic change, the

adoption of new technologies, etc. (see discussion of labour-embodied

technical change in Section VI).



     Little work has been done since the 1986 NAS report on the

effect of fertility and household size on labour supply at the

household level.  It has long been known (e.g., G. Standing, 1978)

that high fertility is correlated with low female labour-force

participation in the modern sector and high female labour-force

participation in the agricultural and informal sectors.  Casual

observation indicates that high fertility is associated with the

participation of older children in the "household economy" þ

gardening, tending younger siblings, etc. þ which may, as one of its

effects, free up adults for extra-mural economic pursuits.



     The "Chayanov effect" states that an extra birth may increase

the labour supply of the head of household, but this hypothesis has

never been tested in a developing country.  It is worth remembering

that the male peasants studied by Chayanov were working something

like 700-800 hours per year on average; i.e., they were engaged in

highly seasonal agricultural activities which left free substantial

blocks of leisure time.  Such conditions may be replicated in some

agricultural settings, but are unlikely to prevail in an urban

context.



     At the national level, studies have revealed no correlation

between the rate of population growth and the rate of unemployment;

on the other hand, open unemployment rates are a notoriously

inadequate measure of labour-market conditions in developing

countries.  Labour-force entrants who cannot be absorbed into the

modern sector will shift their labour supply to the household economy

and the informal sector, which act, in effect, as residual sectors.

They may also, if possible, defer searching for jobs and remain in

school.



     The major survey of labour markets and employment in developing

countries is that of D. Bloom and R. Freeman (1987). While finding

scattered empirical support for the proposition that rapid population

growth lowers wages, these researchers admitted that the great

variation in local labour markets made it impossible to reach any

strong general conclusion.  Some developing countries have succeeded

in absorbing their rapidly growing populations into productive

employment, but this is not necessarily grounds for optimism.

According to dual labour market theory, wages are rigid in the formal

sector but flexible in the informal sector.  The effect of rapid

population growth should, therefore, be to (1) increase the absolute

number and proportion of workers in the informal sector, (2) drive

down wages in the informal sector, and thus (3) widen the gap between

formal and informal sectors and worsen the distribution of income

(H.R Hemmer and C. Mannel, 1989; T. Chaudhuri, 1989).



     Informal-sector employment is productive and may result in the

accumulation of skills.  On the other hand, there exists a hierarchy

of activities, running from the highly desirable to the most

marginal, within the informal sector itself (W. Cole and B. Fayissa,

1991).  It may be the case that the "elite" sub-sector of the

informal sector þ auto repair, air-conditioner and refrigerator

maintenance and the like þ is only slightly more flexible than the

modern sector, in which case rapid labour-force growth simply pushes

more workers down the productivity ladder into marginal activities.



     According to neo-classical theory, rapid labour-force growth,

by reducing the wage rate relative to the rate of return on capital

(see the discussion in Section VIII), should promote the adoption of

labour-intensive techniques of production.  In agriculture (which is

outside the scope of this survey) there is a large body of scholar-

ship on how cultivators have reacted to population pressure by

adopting more labour-intensive production techniques.



     There is little question that the neo-classical choice-of-

technique mechanism also flourishes in the informal sector, where

capital intensity is low and elasticity of substitution high.

Researchers have questioned the relevance of neo-classical factor

substitution in the formal sector, however.  Here production

techniques may be: imported with little regard to local factor

availabilities; influenced by industrialists' "engineering bias"; or

bound to internationally accepted standards of quality control which

require capital-intensive production techniques (N. Egea, 1990; H.

Pack and L. Westphal, 1986).





V.   Rapid Population Growth and Human-Resource Quality at the

     Household and National Levels



     As empirical work has failed to assign a dominant role to

physical capital formation, there has been a correspondingly strong

interest in human capital and the quality of the human-resource base.

In contrast to the ambiguous evidence regarding the effect of

demographic parameters on physical capital formation, there is rather

strong evidence that high fertility, close birth spacing and large

family size tend to reduce human capital formation by impairing child

development.



     High fertility and unfavourable child development can co-occur

in one of three ways: (1) unfavourable overall economic conditions

may cause both; (2) high fertility may impede child development

directly (i.e., holding resources per child constant þ presumably the

impairment occurs via unspecified biological mechanisms or as a

result of reduced parental attention per child); or (3) indirectly

by reducing endowments of nutrition and education per child.



     Many studies have found statistically significant associations.

Cross-household surveys have revealed an inverse relationship between

the number of offspring in a family and per-child educational

expenditure; there is also evidence that unwanted births, which are

likely to be higher-parity births, are associated with lower school

enrolment rates for all children in the family.  A strong inverse

empirical relationship has been found between the number of children

in the household and child nutrition.



     Though studies have not shown that large family size is

associated with low infant- and child-survival rates, there are

indications that large family size is inversely associated with

children's health.  Large family size is generally associated with

short birth intervals, and many studies have concluded that closely

spaced children are subject to higher mortality.  There are

substantial reductions in infant mortality to be gained from wider

birth spacing (see J. Potter, 1991, pp. 224-30, for references).



     Evidence of causality in the area of fertility and child

development has been surveyed by M. Rosenzweig (1988 and 1990), who

drew attention to the deficiencies of available data in the area.

Relatively few studies have been able to go beyond correlations,

which may over-estimate the strength of hypothesized relationships.

Reviewing those which have done so, Rosenzweig (1988, p. 83)

concludes on a cautionary note:  "Each assertion [points (1)-(3)

above] can be supported.  But the quantitative evidence for any one

is not overwhelming; there are only a few studies in each case that

go beyond correlations, and the estimated magnitudes of the causal

relationships are small."



     Data problems have also hampered researchers' ability to

establish the common-sense proposition that adverse childhood

conditions result in lowered adult productivity and earnings. The

individual and household-level evidence cited by G. Cornia (1989,

especially pp.179-80) is scattered and particularistic, but at least

consistent.  Birdsall and C. Griffin (1988, pp. 49-50) found in their

survey "limited evidence" from household studies that the reduction

in resources per child associated with high fertility had adverse

long-run effects.  They concluded, "The probable (though not well-

charted) result is slower per capita income growth."



     Rapid population growth puts an undoubted strain on national

resources in the areas of education (Najafizadeh and Mennerick, 1988;

G. Jones, 1990) and health (Jones, 1990).  Some cross-sectional

research has found that national indices of health and education are

positively associated with the rate of economic growth (E. Scholing

and V. Timmermann, 1988).  I. Otani and D. Villanueva (1990) found

a significant positive growth effect of the share of government

expenditure on human-resource development, albeit less so than the

traditional "hard" variables such as the saving rate and the rate of

growth of exports. Neither of these studies goes, to use Rosenzweig's

terminology, "beyond correlations".



     The lagged Physical Quality of Life Index (PQLI), which should

be a fair index of "basic needs", shows a far stronger correlation

with current-period GDP per capita than does lagged GDP per capita

with the current-period PQLI (B. Newman and R. Thompson, 1989).  The

simulation model of D. Wheeler (1984), which indicated that invest-

ment in education, nutrition and family planning could be more

productive in the long run than investment in physical capital, is

still highly regarded and often cited (see also the discussion in

Section IX).



     J. Behrman (1990) examined the contribution of training and

indigenous research and development to economic growth and found

"surprisingly little systematic quantitative evidence" (pp. 89-90)

of a causal relationship at the national level.  In the area of

health, there is no consistent statistical relationship between

aggregate health spending and measures of health outcomes such as the

infant mortality rate and life expectancy.  There seems little doubt

that in most countries, demographic dilution is a secondary factor

when the mis-allocation of resources þ to secondary and post-

secondary education at the expense of primary education; to urban

hospital-based health care at the expense of primary health care in

rural areas and on the urban fringe, etc. þ is taken into account.



     G. Becker (1988) elaborated a neo-classical growth model in

which fertility and endowment of children with human capital are both

endogenous decisions, and possibilities of inter-generational

transfers exist.  The model's solution is characterized by two stable

equilibria: one with large family size and low human capital per

child, the other with small family size and high endowment of human

capital per child.  The practical implication is that some exogenous

push may be required to displace low-income countries away from the

first of these steady states (low-level trap) to the second.





VI.  Rapid Population Growth, Economies of Scale and Induced

     Technical and Institutional Change



     In the years leading up to 1986, a large volume of literature

addressed the relationship between population growth and economies

of scale and induced technical and institutional change; McNicoll

(1984) provides a good survey.  This was occasioned, in part, by

publication of The Ultimate Resource (J. Simon, 1981), which argued

that population growth has a strong positive effect on economic

growth.  Formal mechanisms by which density-dependent technical

change may lead to escape from near-term Malthusian constraints have

been incorporated into mathematical models of population and economic

growth over the very long term (G. Steinmann and J. Komlos, 1988;

Komlos and M. Artzrouni, 1990).



     The assessment of scale economies and technical change has not

been substantially modified in recent writings.  It may be summarized

as follows:



     (1)   Economies of scale in manufacturing tend to be exhausted

           at moderate market sizes; besides, it is not the size of

           the internal market but the extent to which countries

           are able to exploit the global market which determines

           whether they can be reaped.  The same can be said for

           agglomeration and urbanization economies, which tend to

           be exhausted after a country has one city of moderate

           size.  On both accounts, rapid population growth is

           unlikely to be a stimulus to industrial growth in most

           low-income countries.



     (2)   Economies of scale in agriculture and the provision of

           rural infrastructure may be substantial.  These arise,

           however, from population density, not the rate of

           population growth.



     (3)   Induced innovation and technical change are a major

           force in the area of agriculture; V. Ruttan and Y.

           Hayami (1991) cite  studies in which their effects may

           be seen over a time-span of some 20 years.  Their

           relevance for manufacturing and the modern sector in

           general is less-well established.



     The embodiment of technical change in capital or, due to

improving standards of training and education, in workers, has long

been known to favour rapid population growth via "vintage" logic: a

more-rapidly growing population will have a younger labour force; a

more-rapidly expanding capital stock will consist, on average, of

newer machines.  D. Blanchet (1988a) has noted that since the rate

of depreciation typically accelerates þ an old capital stock

depreciates more rapidly than a young one þ conventional fixed-

depreciation-rate models somewhat over-estimate the capital-dilution

effect of rapid population growth.  The benefits arising from

technical advancement as embodied in the labour force have been

formally investigated by E. van Imroff (1988), who added to a neo-

classical growth model the assumption that only new workers employ

new technologies.





VII. Rapid Population Growth and Externalities



     P. Demeny (1986) stated flatly that the possible negative

external effect of family fertility decisions was the single most

important concern in the economics of population.  It is the

importance or non-importance of externalities which determines

whether Governments should "go beyond family planning", i.e., take

policy action to discourage or encourage fertility.



     There has been considerable progress in theoretical models of

household fertility (Nerlove, Razin and Sadka, 1987), notably work

in the "new new home economics" tradition þ the second "new" refer-

ring to the introduction of overlapping generations into the

household utility maximization model.  Some studies have demonstrated

that externalities are unlikely to arise in areas where they might

have been expected; e.g., T. Srinivasan (1988) has argued that it is

unlikely that fertility decisions will give rise to externalities in

the area of old-age support and social-security systems.  In other

areas where externalities do arise þ e.g., provision of public goods

such as national defence and social services such as education þ it

should be possible to correct for them with a tax or user fee.



     It has long been recognized that the most intuitively appealing

of externalities arising from child-bearing þ that individual

fertility decisions affect the wages not only of the additional child

but of all other workers as well þ represents a logical fallacy

because the same birth which depresses the wage rate will raise the

rate of profit; i.e., the birth is Pareto-neutral.  On the other

hand, intriguing and, sometimes, counter-intuitive potential problem

areas have been identified.  For example, Becker (1988) argued that

unless parents are assured by legal or institutional measures of

transfer payments from their children in old age, they will under-

invest in their children's education.



     Up to the appearance of the 1986 NAS report, the subject of

externalities represented something of a theoretical curiosity

because no attempt had been made to quantify them.  Lee addressed

this problem in a series of papers (Lee, 1991; Miller and Lee,

1990).  The exercise is made difficult by two factors: (1) the wide

range of uncertainty surrounding point-estimates of the externality

in each of the areas addressed; and, especially, (2) the fact that

estimates of the total externality are dominated by prodigious

external dis-economies calculated to arise from dilution of national

mineral resources, including oil, and public lands.



     Not surprisingly in view of the latter, Lee calculated

significant negative externalities to child-bearing only in countries

with substantial mineral or land resources; as he pointed out (Miller

and Lee, 1990, p. 295), including environmental amenities in the

exercise would probably lead to the estimation of significant

negative externalities across the board.  The value of externalities

arising in areas other than common-property resources tends to be

small although, as mentioned above, there is a wide range of

uncertainty around the point-estimates.





VIII.Rapid Population Growth, Income Distribution and Poverty



     One of the strongest predictions of neo-classical theory is that

rapid demographic increase, by increasing the supply of labour

relative to the capital stock, will reduce the wage rate relative to

the rate of return to capital, thereby worsening the distribution of

income.



     In a much-cited paper Lee (1980; cf. also 1987) found strong

evidence of this phenomenon in England and other European countries

between the 13th and 19th centuries.  In fact, the evidence was much

too strong, as the average estimated elasticities of the real wage

with respect to population was -1.6, a result inconsistent with the

common assumption that the elasticity of substitution is around unity

(an elasticity on the order -0.5 would be expected).  Lee skirted

this difficulty by proposing that the elasticity of substitution

between land and labour was, in fact, much less than unity in pre-

industrial Europe, and specifying a two-sector general equilibrium

model accordingly.  Solution of the model yields an elasticity of

substitution of 0.16, far lower than other estimates.



     Pooling time-series and cross-sectional data for six countries

between 1500 and 1800, D. Weir (1991) estimated a real wage-

population elasticity of -1.2: more reasonable than Lee's result but

still lower than expected.  Thus, long-run historical data indicate

a very strong inverse relationship between the rate of population

growth and the welfare of the population.  Whether this is Malthusian

in origin or arises from institutional arrangements, as Weir

suggests, is open to discussion.



     Turning to poverty, the causal links between population growth

and absolute deprivation are not well understood.  A large number of

stylized facts are known: historically, poor households have tended

to be small; currently, big households tend to be poor, but high-

status households still tend to have high fertility (M. Lipton,

1983).  High-fertility poor households outnumber high-fertility elite

households. Thus, high fertility is concentrated among the poor and

tends, on compositional grounds alone, to worsen the distribution of

income.



     On the other hand, research has not established a strong causal

link running from high fertility to poverty. G. Rodgers (1984, p.

169) concluded his survey of work in the area as follows:



     "There seems to be one basic theme þ conclusion would be too

     strong a word þ which recurs across many situations and levels

     of analysis: that high fertility and high rates of population

     growth tend to have adverse effects on the incidence and

     evolution of poverty, but that these effects tend to be

     relatively small."



     Birdsall and Griffin (1988) found evidence that poverty

encourages large family size, but wrote (p. 49), "Regarding the link

in the other direction þ the impact of rapid population growth on

poverty þ there is some theory but much less evidence."  They

concluded, nonetheless, that slower population growth would reduce

the cost and time necessary to eliminate poverty.





IX.  Correlation Studies and Other Models



     Lee (1983, p. 54) cautioned that correlation studies need to

take into account dynamic aspects or else they will be inaccurate:

"If national economies followed the trajectories described by the

neo-classical single-sector growth models, then we would expect, for

steady-state economies, no relation between population growth rates

and growth rates of per capita income.  If such economies are out of

steady state, then we would expect a moderately strong negative

correlation between them; and if the economies had surplus labour,

we would expect a strong negative correlation."



     The correlation between the rate of population growth and the

rate of growth of per capita income was for a long time notorious as

a non-relationship.  That is, when researchers compared the

population growth rates of countries with their per capita economic

growth rates, either in informal graphical and tabular presentations

or in formal correlation analyses, there was generally no discernable

relationship.  On the other hand, more recent correlation studies

have inferred a significant inverse relationship for the 1970s and

early 1980s (Blanchet, 1991b), although not for earlier years and not

always for the post-war decades combined.



     The simplest explanation for this revolves around the second of

Lee's possibilities. During the "golden age" of the 1950s and 1960s,

benign economic conditions allowed countries to accommodate rapidly

growing populations along the lines suggested by the mainstream neo-

classical model.  In the 1970s and early 1980s, by contrast,

economies were displaced from their growth paths by exogenous shocks,

in particular swings in primary commodity and energy prices and the

emergence of the debt crisis.  Under ideal conditions, neo-classical

substitution processes would quickly return displaced economies to

their equilibrium growth paths, but these processes were hampered by

institutional rigidities which resulted in incomplete adjustment and

attendant unemployment, inflation, price distortions, protectionism,

etc.  This in itself would be sufficient to lead to the emergence of

a negative correlation; it might furthermore be argued that countries

with rapid population growth found it more difficult to adjust than

did those with moderate demographic increase.



     Part of the observed change may also be spurious.  Say, for

example, that aggregate GDP growth rates remained unchanged, while

population growth rates fell in countries already characterized by

relatively slow population growth and remained fixed in countries

experiencing relatively rapid rates of demographic increase.  Then

whatever the underlying model or absence thereof, the slope co-

efficient estimated by regressing the rate of per capita income

growth on that of population growth would become more negative in

arithmetic value.



     An alternative explanation is that there actually is an

underlying "Malthusian" model which correlation analysis is only now

starting to reveal.  Blanchet (1988b) has advanced an econometric

argument in furtherance of this view.  The basic Malthusian model

should, according to Blanchet, consist of two equations and an

identity þ the rate of per capita GDP growth as a behavioural

function of the rate of population growth, the rate of population

growth as a behavioural function of the level of income, and the

level of income as last-year's level multiplied by one plus the

growth rate, an accounting identity.  Blanchet argues that the

underlying model is of the error-components variety (R. Pindyck and

D. Rubinfeld, 1976, pp. 202-08).  Simulation analysis with reasonable

parameter estimates shows that ordinary least squares estimates of

b will "cycle": Blanchet (1988b) illustrates the case where they

start off positive and insignificant for decade one, grow steadily

more positive through decade three, then suddenly turn negative and

significant in decade four.



     Kelley (1986) expressed hope that the NAS report would stimulate

more activity in the area of multisectoral population-development

modelling, a hope which has not been borne out.  Still worthy of

attention, however, is the model of Wheeler (1984), which is perhaps

the most credible simultaneous model of population growth, investment

and human-resource quality as measured by nutrition, literacy and

life expectancy.



     The Wheeler model stands out because it is characterized not

only by strong simultaneous linkages þ for example, rising levels of

health raise per capita income, which in turn has a beneficial

feedback effect on health þ but also, and less commonly, by

econometric credibility in terms of the estimation techniques

employed.  While finding that reduction of fertility via family

planning was a highly effective development policy, simulations with

the Wheeler model indicated that given even minimal investments in

education and family-planning, low-income countries were unlikely to

remain mired in a "low-level trap".



     R. Barlow (1992) has estimated a single-equation reduced-form

model in which the growth rate of GDP is a function of current-period

and lagged birth rates, plus a range of variables reflecting the

external environment and socio-political factors.  Stripped to its

essentials, the model is



     Y'i(t) =  a + b NBRi(t) + c NBRi(t-1) + d NBRi(t-2)

               + e NBRi(t-3) + Other variables + fi(t)

where



     Y'i(t) =  Average annual GDP growth rate in country i in period

               t

     NBRi(t) = Net birth rate (births minus infant deaths) in country

               i in period t



     Other variables = improvements in life expectancy, political

                       stability, terms of trade, etc.



     fi(t) = country-specific random errors.



and the periods correspond to six-year intervals.  The coefficients

on current and lagged fertility are hypothesized to reflect both

labour-force growth (negative in the current period because of

reduced female labour-force participation, positive for lagged

periods) and investment (negative in the current and near-lag periods

because of the household dependency-rate effect, positive in far-lag

periods because of the higher ratio of workers to retirees).



     When estimated over a sample of developing and industrialized

countries observed between the mid-1970s and early 1980s,

coefficients indicate a large negative current-period fertility

effect and a positive lagged fertility effect.  The current-period

elasticity of output with respect to the net birth rate is about

-3.0; after six years it is -1.5, after 12 years -0.2 and after 18

years 1.2.  In one simulation comparing a country with a total

fertility rate (TFR) of 5.0 versus the same country with a TFR of

3.5, after 24 years GDP is 62 per cent higher, population 18 per cent

lower and per capita GDP a staggering 99 per cent higher in the low-

fertility scenario.



     The outlines of the story told by the Barlow model may be

correct, but there is reason to believe that the estimated effects

may be too strong.  Parameter estimates reflect not only differences

in actual fertility behaviour, but differences in the age structures

of populations.  For example, the population of a country with a net

birth rate of, say, 15 per 1,000 is characterized by a lower

dependency ratio than a country with a net birth rate of, say, 40 per

1,000.  There is evidence (some of which we have discussed above in

the context of saving rates) that the less-dependent age structure

may be more conducive to economic growth; arguments involving the

age-structure of the labour force may also be advanced.



     Two other comments may be made regarding the Barlow model.

First, omitted variables are an ever-present difficulty in work of

this sort, and Barlow has included a wide range of socio-political

variables to mitigate the problem. Based on his parameter estimates,

the rapid growth of the East Asian "Dragons" should be attributed

mostly to their rapid fertility decline.  Omitted variables may have

led to an overstating of the correlation in these cases.  Second, the

results of the simulation exercise presented must be interpreted with

caution.  For example, included among the ceteris paribus assumptions

is that a country with a total fertility rate of 5.0 and one with a

total fertility rate of 3.5 start off with identical age distri-

butions.





X.   Conclusion



     This survey has found a number of areas in which recent research

has provided further evidence that rapid population growth has a

negative impact on economic development (see summary below).  Parti-

cularly noteworthy population-growth effects are the slower

absorption of labour into high-productivity sectors, and the adverse

consequences at the household level for child welfare and human-

capital formation.  Recent research has found, however, that the

magnitudes of the latter effects are modest, and more work is

required to assess their long-run impacts.  Further work is also

necessary to quantify the macroeconomic effects of strains placed by

rapidly growing populations on national health and education

resources.



     Research in the areas of savings and investment and poverty has

not been conclusive, and little new work has been done in the areas

of scale economies and induced technical and institutional change.



     Recent work has suggested the existence of large external dis-

economies to child-bearing in the area of common-property natural

resources in countries where these are substantial; the value of

externalities in other areas has been estimated to be small.  The

existence of a strong negative correlation between wages and

population growth in pre-industrial Europe has been reaffirmed, and

recent work has found a statistically significant negative

correlation between the rate of economic growth and the rate of

population growth during the 1970s. Both correlations are open to

different interpretations.



     In all, the recent research surveyed in this paper does not call

for substantial modification of the following summing up of the U.S.

National Academy of Sciences review:



     (1)   Rapid population growth has a negative effect on

           development in many developing countries.



     (2)   This role is difficult to quantify due to the complexity

           and multiplicity of relationships involved and the

           variability of local circumstances.



     (3)   Because there exist possibilities for response and

           substitution, the effect of population growth on

           economic development is probably a modest one.



     Nevertheless, recent evidence indicates that point (3) may be

too mild an appraisal.



     In the years since 1986, population policy makers, including

policy advocates in international development institutions, have

become more concerned about the adverse effects of rapid population

growth on economic development.  This trend, as has been seen, cannot

be explained by a pronounced shift in the results of economic

research in the area over the same period.  In the face of the

uncertainties of research findings, it appears that policy makers

have acted in a prudent manner to implement population policies to

slow growth.




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